MAYBE
Time: 0.009016
TRS:
 {f(x, f(y, x)) -> f(f(x, x), f(a(), y))}
 DP:
  DP:
   {f#(x, f(y, x)) -> f#(x, x),
    f#(x, f(y, x)) -> f#(f(x, x), f(a(), y)),
    f#(x, f(y, x)) -> f#(a(), y)}
  TRS:
  {f(x, f(y, x)) -> f(f(x, x), f(a(), y))}
  UR:
   {f(x, f(y, x)) -> f(f(x, x), f(a(), y))}
   EDG:
    {(f#(x, f(y, x)) -> f#(a(), y), f#(x, f(y, x)) -> f#(a(), y))
     (f#(x, f(y, x)) -> f#(a(), y), f#(x, f(y, x)) -> f#(f(x, x), f(a(), y)))
     (f#(x, f(y, x)) -> f#(a(), y), f#(x, f(y, x)) -> f#(x, x))
     (f#(x, f(y, x)) -> f#(x, x), f#(x, f(y, x)) -> f#(x, x))
     (f#(x, f(y, x)) -> f#(x, x), f#(x, f(y, x)) -> f#(f(x, x), f(a(), y)))
     (f#(x, f(y, x)) -> f#(x, x), f#(x, f(y, x)) -> f#(a(), y))
     (f#(x, f(y, x)) -> f#(f(x, x), f(a(), y)), f#(x, f(y, x)) -> f#(x, x))
     (f#(x, f(y, x)) -> f#(f(x, x), f(a(), y)), f#(x, f(y, x)) -> f#(f(x, x), f(a(), y)))
     (f#(x, f(y, x)) -> f#(f(x, x), f(a(), y)), f#(x, f(y, x)) -> f#(a(), y))}
    STATUS:
     arrows: 0.000000
     SCCS (1):
      Scc:
       {f#(x, f(y, x)) -> f#(x, x),
        f#(x, f(y, x)) -> f#(f(x, x), f(a(), y)),
        f#(x, f(y, x)) -> f#(a(), y)}
      
      SCC (3):
       Strict:
        {f#(x, f(y, x)) -> f#(x, x),
         f#(x, f(y, x)) -> f#(f(x, x), f(a(), y)),
         f#(x, f(y, x)) -> f#(a(), y)}
       Weak:
       {f(x, f(y, x)) -> f(f(x, x), f(a(), y))}
       Fail